Randomized Qns(Second Degree Eqns)

SecondDegreeEquations- STD 10

SelfEvaluation/Assessment









Question : 1 : (4 Marks)


Sum of two numbers is , and their product .Find the numbers


Sum =


Product =


∴ First Number =


∴ Second Number =


Question : 2 (4 Marks)

The difference of two numbers is , Product Find the Numbers

Difference =


Product =


∴ First Number =


∴ Second Number =


Question : 3 (6 Marks)

Find a,b,c and calculate b²-4ac

x²+ x+ = 0

a =


b =


c =


b²=


4ac =


∴ b²-4ac =


Question : 4 (6 Marks)

Find a,b,c and calculate b²-4ac

x+ = 0

a =


b =


c =


b²=


4ac =


∴ b²-4ac =


Question : 5 (6 Marks)

Find a,b,c and calculate b²-4ac

x = 0

a =


b =


c =


b²=


4ac =


∴ b²-4ac =


Question : 6 (7 Marks)

Find a,b,c and calculate b²-4ac
How many solutions are ?

x+ = 0

a =


b =


c =


b²=


4ac =


∴ b²-4ac =


∴ Number of solutions =


Question : 7 (6 Marks)

Factorise the given second degree polynomial




      x²+ x+


Sum =


Product =


∴ First Number =


∴ Second Number =


∴ Factorised form =


Question : 8 (13 Marks)

Solve the equation by completing the square


      x²+ x=

Half of coeifficent of x=



Square of this number =



∴ Number to be added on both sides



New equation
x²+ x+ =


∴ Factor Form
(x+= ²


∴ x+ =

x =

        OR

x+ =

∴ x =


Question : 9 (13 Marks)

Solve the equation by completing the square


      x²+ x+ =

Half of coeifficent of x=



Square of this number =



∴ Number to be subtracted from both sides



New equation
x²+ x+ =


∴ Factor Form
(x + = ²


∴ x+ =

x =

        OR

x+ =

∴ x =


Question : 10 (4 Marks)




Comments